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14424453434340 = 22325379901218749
BaseRepresentation
bin1101000111100111010001…
…1011000100101111100100
31220001222000221221111102200
43101321310123010233210
53342312240034344330
650402300305134500
73016063255124055
oct321716433045744
956058027844380
1014424453434340
114661415a12154
12174b68032a430
138082b27bb561
1437c20c18072c
151a032e503a60
hexd1e746c4be4

14424453434340 has 144 divisors (see below), whose sum is σ = 44941464750000. Its totient is φ = 3742165785600.

The previous prime is 14424453434269. The next prime is 14424453434353. The reversal of 14424453434340 is 4343435442441.

14424453434340 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 44 + 534 + 34 + 3 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3497356294884 + 10927097139456 = 1870122^2 + 3305616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65831286 + ... + 66050034.

Almost surely, 214424453434340 is an apocalyptic number.

14424453434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14424453434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470732375000).

14424453434340 is an abundant number, since it is smaller than the sum of its proper divisors (30517011315660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14424453434340 is a wasteful number, since it uses less digits than its factorization.

14424453434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228702 (or 228697 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 45.

Adding to 14424453434340 its reverse (4343435442441), we get a palindrome (18767888876781).

The spelling of 14424453434340 in words is "fourteen trillion, four hundred twenty-four billion, four hundred fifty-three million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 9901 19802 29703 39604 49505 59406 89109 99010 118812 148515 178218 198020 218749 297030 356436 366337 437498 445545 594060 656247 732674 874996 891090 1093745 1099011 1312494 1465348 1782180 1831685 1968741 2187490 2198022 2624988 3281235 3297033 3663370 3937482 4374980 4396044 5495055 6562470 6594066 7326740 7874964 8093713 9843705 10990110 13124940 13188132 16187426 16485165 19687410 21980220 24281139 32374852 32970330 39374820 40468565 48562278 65940660 72843417 80937130 97124556 121405695 145686834 161874260 242811390 291373668 364217085 485622780 728434170 1456868340 2165833849 4331667698 6497501547 8663335396 10829169245 12995003094 19492504641 21658338490 25990006188 32487507735 38985009282 43316676980 64975015470 77970018564 80135852413 97462523205 129950030940 160271704826 194925046410 240407557239 320543409652 389850092820 400679262065 480815114478 721222671717 801358524130 961630228956 1202037786195 1442445343434 1602717048260 2404075572390 2884890686868 3606113358585 4808151144780 7212226717170 14424453434340